Title of article
Improved ratio estimators of variance based on robust measures
Author/Authors
Abid, M. Department of Statistics - Government College University, Faisalabad, Pakistan , Ahmad, S. Department of Mathematics - COMSATS Institute of Information Technology, Wah Cantt, Pakistan , Tahir, M. Department of Statistics - Government College University, Faisalabad, Pakistan , Zafar Nazir, H. Department of Statistics - University of Sargodha, Sargodha, Pakistan , Riaz, M. Department of Mathematics and Statistics - King Fahad University of Petroleum and Minerals, Dhahran, Saudi, Arabia
Pages
11
From page
2484
To page
2494
Abstract
This study developed some new estimators for estimating population variance
by utilizing available information on midrange and an interdecile range of auxiliary
variables. A general class of estimators was also suggested. The derivations of the bias
and the mean squared error were presented. Conditions were determined to verify the
eciency of the proposed estimators over existing estimators considered in this study. An
empirical study was also provided for illustration and verication. Moreover, a robust study
was carried out to evaluate the performance of the proposed estimators in comparison to
existing estimators in case of extreme values. According to the theoretical and empirical
research, it was found that the suggested estimators performed more eciently than the
existing estimators.
Keywords
Auxiliary variable , Correlation coecient , Inter decile range , Mean squared error , Midrange
Journal title
Scientia Iranica(Transactions E: Industrial Engineering)
Serial Year
2019
Record number
2524999
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